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Turn 30 re-sends turns 1 through 29. Cost is quadratic in the turn count, and almost everyone budgets it as if it were linear. Here is the real number.

Runs in your browser. Prices verified 2026-08-26.
01 — The loop
02 — Model & caching
The bill
Cost per run
$1.02
per month
$3,050.4
100 runs/day
Context amplification
24.0×

You'd budget 90K input tokens (30 turns × 3.0K). You actually send 2.16M.

Where the input tokens go
New each turn · 5%Re-sent history · 95%
New
98K
Re-sent
2.06M
Output
36K
Caching saves $3.66 per run (78%).

Without it this run costs $4.67. The quadratic re-sent history bills at the cached rate instead of full price — which is exactly where the savings come from.

Cumulative cost per turn
$0$1.25$2.50$3.75$5.001713182430TURN
with cacheno cache$1.02 after 30 turns
Per day
$101.68
Final context
133K
Per turn avg
$0.034
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